30-Second Maths: The 50 Most Mind-Expanding Theories in by Richard J. Brown

From Rubik's cubes to Godel's incompleteness theorem, every thing mathematical defined, with color illustrations, in part a minute. Maths is having fun with a resurgence in attractiveness. So how will you stay away from being the one dinner visitor who has no thought who Fermat used to be, or what he proved? The extra you recognize approximately Maths, the fewer of a technological know-how it turns into. 30 moment Maths takes the pinnacle 50 most attractive mathematical theories, and explains them to the final reader in part a minute, utilizing not anything greater than pages, 2 hundred phrases and one photo. learn at your personal velocity, and observe that maths could be extra attention-grabbing than you ever imagined.

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Review

'[30-Second Maths] unveils the sweetness of arithmetic, pertaining to rules from the Mobius strip to infinity with transparent, unique and delightfully concise explanations.' -- New Scientist

About the Author

Richard Brown is Director of Undergraduate stories on the division of arithmetic, Johns Hopkins University.

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Additional info for 30-Second Maths: The 50 Most Mind-Expanding Theories in Mathematics, Each Explained in Half a Minute

Example text

Four produces (1 + x)4 = 1 + 4x + 6x2 + 4x3 + lx4. It is not the algebra which is difficult here, but the numbers. x4 + 1x5. But what are the right numbers to fill in here? Blaise Pascal wanted a way to find the answer quickly, and find it he did, in the rows of his famous triangle. It begins with a 1. Below that, there are two more 1s. Pascal’s insight was that the process could be continued, with each number coming from the two above it, added together. ) This process is simple to do: just a little addition and no complicated algebra.

Many of Leibniz’s ideas foreshadow modern thought and theory in the fields of physics, technology, biology, medicine, geology, psychology, linguistics, politics, law, theology, history, philosophy and mathematics. He improved on Pascal’s calculating machine (anticipating the work of Babbage and Lovelace), developed binary theory that underpins modern digital technology, developed what we now know as Boolean algebra and symbolic logic, and outlined the concept of feedback that inspired Norbert Wiener.

In 1646, Pascal’s father fell ill and was nursed by Jansenist brothers from Port Royal monastery; Pascal and his sister Jacqueline were profoundly influenced by this and underwent religious conversion. Towards the end of his life, Pascal spent much of his time trying to reconcile faith and reason; his attempts are probably best exemplified by ‘Pascal’s Wager’, which appears in Pensées, a collection of philosophical considerations unfinished at the time of his death. The wager was concerned with the existence of God, and whether one should bet on it.